On what factors does the frequency of a conical pendulum depend? Is it independent of some factors?
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The frequency of a conical pendulum, of string length $L$ and semivertical angle $\theta$, is $n =\frac{1}{2 \pi} \sqrt{\frac{g}{L \cos \theta}}$
where $g$ is the acceleration due to gravity at the place.
From the above expression, we can see that
1. $n \propto \sqrt{g}$
2. $n \propto \frac{1}{\sqrt{L}}$
3. $n \propto \frac{1}{\sqrt{\cos \theta}}$
(if $\theta$ increases, $\cos \theta$ decreases and $n$ increases)
4. The frequency is independent of the mass of the bob.
where $g$ is the acceleration due to gravity at the place.
From the above expression, we can see that
1. $n \propto \sqrt{g}$
2. $n \propto \frac{1}{\sqrt{L}}$
3. $n \propto \frac{1}{\sqrt{\cos \theta}}$
(if $\theta$ increases, $\cos \theta$ decreases and $n$ increases)
4. The frequency is independent of the mass of the bob.
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